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Which term of the AP 3,15,27,39.....will …

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Which term of the AP 3,15,27,39.....will be 132 more than its 54th term?

Posted by Shubham Sharma 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 9 months ago

a = 3 and d = 15 - 3 = 12
Let the required term be nth term
54th term = a +(n-1)d
= 3 + 53x12 = 3 + 636 = 639
therefore 132 + 639 = 771 will be the nth term.
771 = 3 + (n-1)12
768/12 +1 = n
therefore n = 64 +1 = 65
therefore the 65th term will be 132 more than the 54th term.

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